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By L. Fuchs,J. P. Kahane,A. P. Robertson,S. Ulam

Abelian teams bargains with the speculation of abelian or commutative teams, with designated emphasis on effects touching on constitution difficulties. greater than 500 routines of various levels of trouble, with and with out tricks, are incorporated. a number of the workouts light up the theorems pointed out within the textual content through supplying substitute advancements, proofs or counterexamples of generalizations.

Comprised of sixteen chapters, this quantity starts with an summary of the elemental proof on staff conception akin to issue team or homomorphism. The dialogue then turns to direct sums of cyclic teams, divisible teams, and direct summands and natural subgroups, in addition to Kulikov's easy subgroups. next chapters specialise in the constitution concept of the 3 major sessions of abelian teams: the first teams, the torsion-free teams, and the combined teams. purposes of the speculation also are thought of, in addition to different themes akin to homomorphism teams and endomorphism jewelry; the Schreier extension idea with a dialogue of the gang of extensions and the constitution of the tensor product. moreover, the publication examines the speculation of the additive staff of earrings and the multiplicative staff of fields, besides Baer's idea of the lattice of subgroups.

This ebook is meant for younger learn staff and scholars who intend to familiarize themselves with abelian groups.

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Abelian Groups (International Series in Pure and Applied Mathematics) by L. Fuchs,J. P. Kahane,A. P. Robertson,S. Ulam


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